(+1) + (-5) - (+5) + (+9)

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

For an equation in the form of [tex]y=a(x-h)^2+k[/tex], the axis of symmetry is where [tex]x=h[/tex]. In this case, the axis of symmetry is the line [tex]x=8[/tex]

1. The equation of the line that is parallel to the given line and passes through the point (8,5) is y = (-5/8)x + (65/8).

2. The equation of the line that is perpendicular to the given line and passes through the origin is y = (-4/7)x.

1. To find the equation of a line that is parallel to another line with equation 8y+5x-6=0 and passes through the point (8,5), we need to follow some steps.Steps:

First, find the slope of the given line, which can be done by rearranging the given equation into slope-intercept form (y = mx + b).8y+5x-6=0⟹ 8y = -5x + 6⟹ y = (-5/8)x + 3/4So the slope of the given line is -5/8.

Second, since we need to find a line parallel to the given line, the slope of the new line will also be -5/8.

Third, use the slope (-5/8) and the given point (8,5) to find the y-intercept (b) of the new line by using the point-slope form of the equation. y - y₁ = m(x - x₁)y - 5 = (-5/8)(x - 8)y = (-5/8)x + (65/8)

Therefore, the equation of the line that is parallel to the given line and passes through the point (8,5) is y = (-5/8)x + (65/8).

2. To write down the equation of a line perpendicular to y = 7x/4+9/4 and passes through the origin, we can follow some steps.

Steps:

First, find the slope of the given line. This can be done by rearranging the given equation into slope-intercept form (y = mx + b).y = (7/4)x + 9/4So the slope of the given line is 7/4.

Second, since we need to find a line perpendicular to the given line, the slope of the new line will be the negative reciprocal of the given line's slope.

Third, use the slope (-4/7) and the point (0,0) to find the y-intercept (b) of the new line by using the point-slope form of the equation.y - y₁ = m(x - x₁)y - 0 = (-4/7)(x - 0)y = (-4/7)x

Therefore, the equation of the line that is perpendicular to the given line and passes through the origin is y = (-4/7)x.

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Answer:

Step-by-step explanation:

You want the equations of lines ...

The equation of a parallel line in general form can be written using the same coefficients, and choosing a constant that makes the equation true for the given point.

  8y +5x +c = 0

  8(5) +5(8) +c = 0

  80 +c = 0

  c = -80

The equation of the desired line is 8y +5x -80 = 0.

The given equation is in slope-intercept form, so we can identify the slope as ...

  y = mx +b = 7/4x +9/4

  m = 7/4

The perpendicular line will have a slope that is the opposite reciprocal of this:

  m' = -1/(7/4) = -4/7 . . . . . . slope of perpendicular line

The line through the origin will have a y-intercept of 0, so the equation in slope-intercept form is ...

  y = -4/7x

__

Additional comment

The attached graph shows the given lines as dashed lines, and the requested lines as solid lines in the same color. The "must pass through" points are shown.

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The linear equation that represents the graph is 3/2x - 3 = y

Data;

From the given graph, we can see at the x-axis that the line touches at point 2 and at the y-axis, the line touches at point 3.

If we decide to multiply through by 3 to eliminate the fraction, the equation would look like this.

[tex]\frac{3x}{2} -3 = y\\2(\frac{3x}{2}) -3(2) = 2(y)\\3x - 6 = 2y[/tex]

Kindly find the attached image of the graph.

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Answer:

the answer to that question is 6x squared.

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

12x and 18x3

first, simplify 18x3

12x and 54x

Now, cancel the x, we'll add it on in the end

12 and 54

Factor it!

(2 * 3 * 2) and (2 * 3  * 3 * 3)

2 and 3 remain common, so multiply = 6

Add on x from before.

6x is the answer.

Answer:

(x + 8)² + (y - 3)² = 64

Step-by-step explanation:

(x - (-8))² + (y - 3)² = 8²

(x + 8)² + (y - 3)² = 64

Answer:

0D r equals -3y

hope ts helpful

The shape in the figure has 6 sides

The choice that describes the group the shape belongs to is (a) parallel sides, acute angles

From the figure, we have the following highlights

The above highlight mean that:

The shape belongs to parallel sides, acute angles group of shapes

Hence, Angela's conclusion is correct

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Answer: the answer is 40.5 cm

Step-by-step explanation:

first your gonna want to look at the numbers given and then solve.

Answer:

steam plot

Step-by-step explanation:

because the stem plot is easy to use

Answer:

Step-by-step explanation:

Take these: 23, 27, 29, 35, 36, 41, 47, 48, 52. It is better as a stem and leaf.

---------------------------------------------------------------------------------------------------------

2 ][ 3 7 9

3 ][ 5 6

4 ][ 1 7 8

5 ][ 2

---------------------------------------------------------------------------------------------------------

If you use dot plot, it is recommended use amounts under 10.

Answer:

Volume of Prism = 1/2×h×l×b

I think the formula will help you.

There is no Height, I think question is incomplete

Answer:

please see photo for details

Answer:

Step-by-step explanation:

use a protractor if you have one or ask for one

Answer:

Step-by-step explanation:

Ratio of length : width = 4 : 7

Length = 4x

Width = 7x

Longer side = 31.5 in

⇒ 7x = 31.5

Divide both sides by 7

x = 31.5/7

x = 4.5

length = 4x

           = 4*4.5

         l = 18 in

width =  31.5

       w = 31.5 in

[tex]\boxed{ \text {Perimeter of rectangle }= 2*l + 2*w}[/tex]

                                      = 2*18 + 2*31.5

                                      = 36 +  63

                                      = 99 in

[tex]\boxed{ \text{Area of rectangle = l*w}}[/tex]

                             = 18*31.5

                             =  567 in²

Answer:

[tex]30x^{4}[/tex]

Step-by-step explanation:

Answer:

If 6/10 is multiple by a fraction less then one the product would be 1/2

Step-by-step explanation:

6/10 is also equal to 0.6

If 0.6 is multipled by something less then one the product would not be able to be greater then 6/10

Resulting in 1/2 being the product.

Answer: All you gotta do is multiply 6x10 and then u get 60 so the product of of 6/10 is 60

Answer:

D: 2t

Step-by-step explanation:

a coefficient next to a variable is an automatic multiplication equation

The solution is Option D.

The number of cups of diced onions A to the number of cups of chopped tomatoes t is represented by the equation A = 2t

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

A = total number of cups of diced onions

Let the total number of cups of chopped tomatoes be = t

Now , the  recipe requires twice as many cups of chopped tomatoes as diced onions

Substituting the values in the equation , we get

A = 2t

where A = number of cups of diced onions

t = number of cups of chopped tomatoes

Therefore , the value of A is 2t

Hence ,

The equation will be A = 2t where t is the number of cups of  tomatoes

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Let's see

[tex]\\ \rm\rightarrowtail x^2-2x=0[/tex]

[tex]\\ \rm\rightarrowtail x(x-2)=0[/tex]

[tex]\\ \rm\rightarrowtail x=0\:or\:x-2=0[/tex]

[tex]\\ \rm\rightarrowtail x=0\:or\:x=2[/tex]

[tex] \green{••••••••••••••••••••••} \blue{••••••••••••••••••••••••••}[/tex]

[tex] \sf {x^2 - 2x = 0} [/tex]

[tex] \sf {x ( x - 2) = 0} [/tex]

[tex] \sf {x = 0 \: or \: x-2 = 0} [/tex]

[tex] \sf \green{ {x = 0 \: or \: x = 2}} [/tex]

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#LibreAngMatuto

The angle of elevation from the tripod to the top of the tree is about 66 degrees

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let Ф represent the angle of elevation. Since the tripod is at a height of 4 feet, hence:

tanФ = (31 - 4) / 12

Ф = 66 degrees

The angle of elevation from the tripod to the top of the tree is about 66 degrees

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Answer:

14 1/13

Step-by-step explanation:

13/4*13/3=169/12=14 1/13

Answer:

j=76 and k=65

Step-by-step explanation:

[tex]j + k = 141 \\ 7x + 13 + 83 + - 2x = 141 \\ 96 + 5x = 141 \\ 5x = 141 - 96 \\ 5x = 45 \\ x = \frac{45}{5} \\ x = 9 \\ j = (7 \times 9 + 13) \\ j =76 \\ k = 83 - 2(9) \\ = 83 - 18 \\ = 65[/tex]

Answer:

7.6

Step-by-step explanation:

a^2 + b^2 = c^2

6.5^2 + x^2 = 10^2

42.25 + x^2 = 100

isolate x by subtracting 42.25 on both sides

x^2 = 57.75

square root of 57.75 or 7.6

Answer:

B. 98 ft

Step-by-step explanation:

x^2 + y^2 = z^2

z = sqrt(84^2 + 50^2) = 97.7 ft ~ 98 ft

B. 98 feet

[tex]Solution:\ From\ question\\ 84\ feet\ long\ and\ 50\ feet\ wide\\ so\ he\ will\ run\ \sqrt{{84}^2+{50}^2}\ \approx98\ feet[/tex]

Answer:

8.2

Step-by-step explanation:

Hope this helps....

Answer:

The answer is 8 1 / 2

Step-by-step explanation:

See the Image

Option 1 is easier to understand

[tex]\left|x-\dfrac 12\right| = 3\dfrac 23\\\\\\\implies \left|x- \dfrac 12 \right| = \dfrac{11}3\\\\\\\implies x-\dfrac 12 = \dfrac{11}3 ~~~~~~~~~ \text{or}~~~~~~~ x - \dfrac 12 = - \dfrac {11}3\\\\\\\implies 2x -1 = \dfrac{22}3 ~~~~~~~~ \text{or}~~~~~~~~2x-1 =-\dfrac{22}3\\[/tex]

[tex]\implies x =\dfrac 12\left(\dfrac{22}3 +1 \right) ~~ \text{or}~~~~~~~~ x = \dfrac 12 \left(1-\dfrac{22}3\right)}\\\\\\\implies x = \dfrac{25}6~~~~~~~~~~~~~~~ \text{or}~~~~~~~~ x=-\dfrac{19}6\\\\\\\implies x = 4\dfrac 16 ~~~~~~~~~~~~~~~ \text{or}~~~~~~~~x = -3\dfrac16[/tex]

Answer:

[1,∞)

Step-by-step explanation:

Brackets indicate equal to while parentheses indicate not equal to this bound.

Answer:

B and E

Step-by-step explanation:

0.5 ÷ 0.25 = 2

A. NO because it's 20

B. Yes

C. NO because it's 0.2

D. NO because it's 1.1 repeating

E. Yes